finding smallest multiple of N satisfying condtion

Hi,

For a positive integer say N , how can we find its smallest positive multiple (say X) such that X does not have any of the mentioned digits in it . ? E.g if N = 25 and the mentioned digits are 4,6 then the smallest multiple of 25 not containing neither 4 nor 6 will be 25 itself.
Can we proceed with this problem by finding the lcm or hcf for the mentioned digits ?